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Known as "The Strangest House in the World," Körner's Folly in Kernersville, N.C., takes eccentric home designs to a new level -- that is, lots of new levels. Make sure each child has a turn sitting in the haunted house. The millions of cells that make up your heart are constantly contracting and relaxing separately as part of an intricate chaotic system with complicated attractors. On the other hand, this stability is somewhat of an inconvenience to fighter pilots who prefer their aircraft to make rapid changes with minimal effort. What at first glance appears to be random behaviour is completely deterministic - it only seems random because imperceptible changes are making all the difference. The branch of fractal mathematics, pioneered by the French American mathematician Benoît Mandelbröt, allows us to come to grips with the preferred behaviour of this system, what is billiards even as the incredibly intricate shape of the attractor prevents us from predicting exactly how the system will evolve once it reaches it. The rate at which these tiny differences stack up provides each chaotic system with a prediction horizon - a length of time beyond which we can no longer accurately forecast its behaviour. In the case of the weather, the prediction horizon is nowadays about one week (thanks to ever-improving measuring instruments and models).

Fortunately, this intricate state of synchronisation is an attractor of the system - but it is not the only one. If the system is jolted somehow, it may find itself on an altogether different attractor called fibrillation, in which the cells constantly contract and relax in the wrong sequence. The main benefit to having a chaotic heart is that tiny variations in the way those millions of cells contract serves to distribute the load more evenly, reducing wear and tear on your heart and allowing it to pump decades longer than would otherwise be possible. That's one way to use the spoils of war. Popularly, billiards just use 3 balls: one red ball, white one with spot, and white without spot. No matter how consistent you are with the first shot (the break), the smallest of differences in the speed and angle with which you strike the white ball will cause the pack of billiards to scatter in wildly different directions every time. It is solid white in the game of pool, but in carom billiards, one player may play with a spotted or even a yellow cue ball. If you’re playing pool, the game can be played in different ways because of the many pool variants out there.

Suppose you want to play a game of billiards (or pool, or snooker, or whatever takes your fancy), but instead of playing on a rectangular table, you play it on an elliptical table. To prove our claims above, we are going to exploit this simple idea, the mirror being one side of the billiard table. In phase space, a stable system will move predictably towards a very simple attractor (which will look like a single point in the phase space if the system settles down, or a simple loop if the system cycles between different configurations repeatedly). A chaotic system will also move predictably towards its attractor in phase space - but instead of points or simple loops, we see "strange attractors" appear - complex and beautiful shapes (known as fractals) that twist and turn, intricately detailed at all possible scales. Notice that three points are aligned: the point marking your position, the point on the mirror where you see the reflection of the object and the (imaginary) point behind the mirror where you believe the object to be. A nice way to see this "butterfly effect" for yourself is with a game of pool or billiards.

Keeping an eye on the asteroids is difficult but worthwhile, since such chaotic effects may one day fling an unwelcome surprise our way. Though we may not be able to predict exactly how a chaotic system will behave moment to moment, knowing the attractor allows us to narrow down the possibilities. From electrical purpose, one MCB for each room and one earth leakage circuit breaker (ELCB) have also been installed at the main distribution box within each flat; elegant design modular switches are used, telephone points have been provided in every room; 2-3 BHK apartments will be offered 5KW and penthouse with 8KW power, befitted with energy meter. 3. What are the symmetries of the arithmetic billiard path (as a geometrical figure)? Have a look at the Geogebra animation below (the play button is in the bottom left corner) and try to figure out how the construction works. If you would like to play the animation again, double click the refresh button in the top right corner.